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Flipped and random variables

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Reference no: EM131234720

1. Two fair coins are flipped and random variables X and Y are defined according to the outcomes as follows.

x= 1 if the first coin lands heads up, 0 if it lands tails

y= 1 if the second coin lands heads up, 0 if it lands tails

  • Calculate E(X), E(Y), Var(X), Var(Y), and Cov(X,Y).
  • Describe the probability distribution of Z = X - Y.
  • Calculate E(Z), Var(Z), and Cov(Z, X).

Reference no: EM131234720

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